Mathematics High School

can someone help me write the equation of axis of symmetry from the graph shown please?

Answers

Answer 1

Answer:

x=-1

Step-by-step explanation:

Answer 2

Answer:

Axis of Symmetry ⇨ x = -1

Step-by-step explanation:

⟺ From [tex]y=a(x-h)^2+k[/tex]

Our axis of symmetry equals the value of h.

In easier way, we can look at the graph and notice that the minimum point/vertex is at (-1,-9)

We use the value of h to answer.

Thus, the axis of symmetry is x = -1.

Formulas:

Here is some formulas that might benefit you in Quadratic Function.

[tex]h=-\frac{b}{2a}\\k=\frac{4ac-b^2}{4a}[/tex]

h = Axis of Symmetry (transformation of the graph with x-axis)

k = basically the transformation of the graph with y-axis.

Related Questions

6-9x=5x-9x+16 whats the value of x

Answers

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6 - 9x = 5x - 9x + 16

Step 2: Solve for x

Combine like terms: 6 - 9x = -4x + 16Add 9x on both sides: 6 = 5x + 16Subtract 16 on both sides: -10 = 5xDivide 5 on both sides: -2 = xRewrite: x = -2

Answer:

x= -2

Step-by-step explanation:

to find the value of x, we need to isolate it

first add 9x to both sides so that the equation looks like this

6 = 5x +16

then we need to subtract 16 from both sides to get

-10 = 5x

then if we divide everything by 5, you find that x = -2

hope this helps :)

When simplifying the following problem what calculation should be done first:
-2(6) + 3(5 - 4 + 2)
O multiplication
O addition
O subtraction

Answers

(
−
2
)
(
6
)
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
1
+
2
)
=
−
12
+
(
3
)
(
3
)
=
−
12
+
9
=
−
3

Jenny had driven for 2 h at a constant speed when round repairs forced her to reduce her speed by 10 mi/h for the remaining 1 h of her 152 mi trip. Find her original speed.

Answers

Answer:

Her original speed is 54 mi/h

Step-by-step explanation:

Here, we want to calculate the original speed

Let this be x mi/h

Mathematically;

distance = speed * time

So she drove at a speed of x mi/h for 2 hours, then (x-10) mi/h for the remaining 1 hour for a total 152 mi journey

Mathematically, we can add up the journey parts as

x(2) + (x-10)1 = 152

2x + x - 10 = 152

3x = 152 + 10

3x = 162

x = 162/3

x = 54 mi/h

In which model does the shaded portion represent 70%?

Answers

It’s the third one c

HELP DUE AT 11!!!! -2v + v = 3

Answers

Answer:

Step-by-step explanation:

solve for v

-2v + v = 3

combine like terms

-v = 3

divide by -1

v = -3

Answer:

Hey, your answer is v=3

Step-by-step explanation:

Find the value of the linear correlation coefficient "r". The data below consists of the scores from the first and second times that students took the SAT Exams. Use your calculator. First Score 860 980 1200 1040 1100 1200 1180 Second Score 940 1000 1240 1050 1260 1140 1100

Answers

Answer:

0.7851

Step-by-step explanation:

Given the data :

First Score

860

980

1200

1040

1100

1200

1180

Second Score

940

1000

1240

1050

1260

1140

1100

Using an online regression calculator, we can obtain the correlation :

The correlation Coefficient r obtained is : 0.7851.

This value of r obtained signifies a strong positive correlation between the first and second score.

Jacob is using his understanding of place value to divide the decimal 714.38 by the decimal 0.6 Which of the division problems shown could he solve to give him the same answer?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Dividend = 714.38[/tex]

[tex]Divisor = 0.6[/tex]

The options are not given. However, a possible solution to the problem is as follows:

[tex]Result = \frac{Dividend}{Divisor}[/tex]

Substitute values for Dividend and Divisor

[tex]Result = \frac{714.38}{0.6}[/tex]

Using understanding of place value, he can multiply the fraction by 10/10

[tex]Result = \frac{714.38 * 10}{0.6 * 10}[/tex]

[tex]Result = \frac{7143.8}{6}[/tex] -- This will give the same result as the original problem.

Another possible solution is by multiplying the original problem by 100/100 to eliminate decimals

[tex]Result = \frac{714.38*100}{0.6*100}[/tex]

[tex]Result = \frac{71438}{60}[/tex] -- This will also give the same result as the original problem.

Peil
5.
bo
The sum of three consecutive multiples of 7 is 777. Find these multiples.
(Hint: Three consecutive multiples of 7 are ‘x’, *x +7', *x+14)

Answers

Answer:

7*7*7

Step-by-step explanation:

Please help!!
I can’t seem to understand

Answers

Answer:

Obtuse and Isosceles (A and E)

Step-by-step explanation:

Here are definitions

Obtuse > 90 degrees

Scalene: All different sides

Equilateral: All same sides

Acute < 90 degrees

Isosceles: Two same side

Right = 90 degrees

Neal had 20 science questions to answer for homework. He finished 12 of the questions before leaving class. Which percent of homework does Neal have left to finish at home?

Answers

Answer:

40%

Step-by-step explanation:

12/20 *5 60/100 so he did 60% and there is only 40% he did not do.

40% is the answer hope this helps!!

What is m∠B?

There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.

A. 51°
B. 129°
C. 134°
D. 141°

Answers

The sum of angles in a polygon adds up to 180(n - 2), where n is the number of sides of the polygon

The measure of angle B is 141 degrees

The angles are given as:

[tex]\mathbf{\angle BCD = 148}[/tex]

[tex]\mathbf{\angle D EF = 142}[/tex]

[tex]\mathbf{\angle EFG = 130}[/tex]

[tex]\mathbf{\angle FGA = 129}[/tex]

[tex]\mathbf{\angle GAB = 120}[/tex]

[tex]\mathbf{\angle CDE = 90}[/tex]

So, the measure of angle B is calculated using:

[tex]\mathbf{\angle B + 148 + 142 + 130 + 129 + 120 + 90 = 180(n -2)}[/tex]

[tex]\mathbf{\angle B + 759 = 180(n -2)}[/tex]

Substitute 7 for n

[tex]\mathbf{\angle B + 759 = 180(7 -2)}[/tex]

[tex]\mathbf{\angle B + 759 = 180 \times 5}[/tex]

[tex]\mathbf{\angle B + 759 = 900}[/tex]

Make B the subject

[tex]\mathbf{\angle B = 900 - 759}[/tex]

[tex]\mathbf{\angle B = 141}[/tex]

Hence, the measure of angle B is 141 degrees

Answers

Answer:

y=-7

Step-by-step explanation:

y-3=-2(x+5)

distribute the -2 into the ( )

y -3= -2x -10

cancel to -2x

y- 3 = -2(0) -10

y-3 = -10

+3 +3

y= -7

Hope this helps!!

The y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a straight line equation:

y - 3 = -2(x+5)

y - 3 = -2x - 10

Plug x = 0 to get the y-intercept

y - 3 = -2(0) - 10

y = -10 + 3

y = -7

Thus, the y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Need help ASAP
Give the slope of y - 4 = 5(x-2) and a point on the line.
OA. The slope is 4 and (2, 5) is on the line.
O B. The slope is 2 and (5, 4) is on the line.
OC. The slope is 5 and (2, 4) is on the line.
OD. The slope is 5 and (-2, -4) is on the line

Answers

Answer:

The slope is 5 and (2, 4) is on the line

20 POINTS
urgent help due in 5 minutes.

Answers

Answer:

56548.67/942.47=60.0005

so 60 times

Step-by-step explanation:

2x + 15 = -21
Solve for X

Answers

Answer:

x = -18

Step-by-step explanation:

Answer:

X=-18

Step-by-step explanation:

Ok so subtract 15 from both sides

Step 1

2x+15=-21

-15 -15

Step 2

2x=-36

2x/2=36/2

You want to divide

And then you will get

X=-18

9. Your digital camera has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo. Write an equation to model the amount of each kind of photo you can take.

Answers

Answer:

well, you can take 64 high-res shots, and if you dont take any high-res shots, you can take 128 low-res shots

Step-by-step explanation:

9514 1404 393

Answer:

4L +8H = 512

Step-by-step explanation:

If we let L represent the number of low-res photos, and H the number of high-res photos, then the amount of memory (in MB) required will be ...

4L +8H

An equation for the total number of photos that can be taken will be ...

4L +8H = 512

What will the new dimensions of the rectangle be after a dilation with a scale factor of 7/8 ?

help asap please !

Answers

Step-by-step explanation:

Original dimensions is 32 feet by 8 feet

32 * (7/8) = 28.

8 * (7/8) = 7.

Hence the new dimensions is 28 feet by 7 feet.

Answer:

28 feet by 7 feet

Step-by-step explanation:

It just is haha

someone help I have been stuck on this for 7 months now and haven't seen the sun in years

Answers

The sum of angles of a triangle equals the straight angle (180°), therefore:

3x + 12x + 1 + 16x - 7 = 180

31x-6=180

31x = 180 + 6

31x = 186

x = 186/31

x = 6

Answer: It's 31x + -6

Step-by-step explanation:

Add all the numbers with x together because they all have the same variable

Then add the -7 to 1 to get -6 since they both don't have variables and are the same

Lastly just put the equation together and there you go!:)

Hope you see the sun now

The tens digit of a two-digit number is one more than the units digit. The difference between this number and the reverse number is 1/5 of the reverse number. Find the number.

Answers

The two-digit number in which the tens digit of the number is one more than the units digit is 54.

What is the algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Let the unit digit be x. The tens digit of a two-digit number is one more than the units digit. Thus the unit digit is,

[tex]\rm \;tens\; digit=x+1[/tex]

Then the number is,

[tex]10(x+1)+x\\11x+10[/tex]

The reverse of this number is,

[tex]10x+x+1\\11x+1[/tex]

The difference between this number and the reverse number is 1/5 of the reverse number. Thus,

[tex]11x+10-(11x+1)=\dfrac{1}{5}(11x+1)\\9=\dfrac{1}{5}(11x+1)\\45=11x+1\\x=\dfrac{44}{11}\\x=4[/tex]

The unit digit is 4. Thus the tens digit is,

[tex](x+1)=4+1\\(x+1)=5[/tex]

Hence, the two-digit number in which the tens digit of the number is one more than the units digit is 54.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

Step-by-step explanation:

What are Equivalent Fractions?
What are Equivalent Ratios?

Answers

Answer:

equivalent fractions are fractions that are equal. example. 1/5 = 2/10

equivalent ratios are ratios that are equal. example. 2:4 = 4:8

Need 9 asap pls it’s eary

Answers

Answer:

u=4

v=2√3

Step-by-step explanation:

Sin(30°)=2/u

1/2=2/u

u=4

tan(30°)=2/v

√3/3=2/v

v=2√3

If jimmy has 3 papers and bob gives jimmy 336 papers then richard steals 124 papers how many papers does jimmy have?

Answers

Since Jimmy has 3 papers and Bob gave him 336. Richard steals 124 papers leaving Jimmy with 215 papers.

The equation looks like this:

[tex](3+336) - 124 = 215[/tex]

btw richards mean for stealing jimmy's papers :D

shyam saves 30% of his salary. If his expense is 14000, find his total income and savings.

Answers

30% is savings so therefore 70% is expenses.

Therefore 70% = 14,000
Find 1% (Divide by 70)
1% = 200
Find 100% (Total Income) (Multiply by 100)
100% = 20,000

Total Income = 20,000

Savings = 30% of Total Income

Find 10% (Divide by Ten)

10% = 2000

Find 30% (Multiply by three)

30% = 6000

Therefore:

Total Income = 20,000
Savings = 6,000

Which of the following are partial products for 43x17 choose all that apply

Answers

Answer:

10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.

Step-by-step explanation:

hope it helps!

A store pays $50 for a pair of shoes. The markup is 25%.

a. What is the selling price for the shoes?

Answers

Answer:

$62.50

Step-by-step explanation:

Answer:

$65.00

Step-by-step explanation:

Which statement correctly names the congruent triangles and justifies the reason for congruence?

Answers

Answer:

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Triangle ABC matches up to EFD.

We know both triangles have right angles and we know the distance of the hypotenuse (5 units) and one of the legs (4.5 given). So, the justification is HL, not AAS.

please help im so confused

Answers

Answer:

the answer is B

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.25 mile she bikes. If Emily
bikes 7 miles, how much will her mother donate?
Her mother will donate $
Ok

Answers

Answer:

multiply 15 by 4. because for .25 to be a mile multiply by 4. then multiply that with $0.40. $24

Step-by-step explanation: hope that helps

evaluate f(-7). f(x)=3x^2

a) -441
b) -147
c) 78
d) 147

Answers

Answer:

Step-by-step explanation:

replace x with -7

Susie drank 2 3 liter of water Monday before going jogging. She drank 3 4 liter of water after her jog. How much water did Susie drink altogether? Write your answer as a mixed number

Answers

I’m assuming the numbers are 2/3 and 3/4 so find the common denominator. 2/3x4=8/12 and 3/4x3=9/12 so 8/12+9/12= 17/12 or 1 and 5/12

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can someone help me write the equation of axis of symmetry from the graph shown please? ​

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can someone help me write the equation of axis of symmetry from the graph shown please?